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Do the following tasks using Mathematica.

                    

  (a) Plot the curves in a single graph for -2  χ  2and shade the region only. Then find the area of the bounded region using Area [] function

  (b) Find the length of the entire curve  

Hint: Determine the Domain and Range of the function first.

        Do not use the built-in ArcLength [] function.

   (c) Find the surface area obtain by rotating the curve.

          

Please UPLOAD the Mathematica file(.nb).

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